Find the Slope and y-intercept -3y=9-12

$- 3 y = 9 - 12$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

Subtract $12$ from $9$ .

$- 3 y = - 3$

Divide each term in $- 3 y = - 3$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 3$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 3}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 3}{- 3}$

Divide $y$ by $1$ .

$y = \frac{- 3}{- 3}$

Simplify the right side.

Divide $- 3$ by $- 3$ .

$y = 1$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0$

$b = 1$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $0$

y-intercept: $(0, 1)$

Slope: $0$

y-intercept: $(0, 1)$

Step 3